1. Aug 11, 2012 #1

   coneheadceo

   

   1. The problem statement, all variables and given/known data
   a pair of fuzzy dice hang from your mirror. While you accelerate from a stop on a horizontal surface to 28 m/s in 6 s, what angle θ does the string make with the vertical?
   
   2. Relevant equations
   
   tan θ = Y/X
   
   a = ΔV / Δt
   
   3. The attempt at a solution
   
   Just want a double check:
   
   So we can use the accelerations to figure out the angle....
   
   Ay = 9.8 m/s^2
   
   Ax = (Δ V)/ Δ (t) = (28 m/s - 0)/(6 - 0) = 4.7 m/s^2
   
   tan θ = 4.7 / 9.8 = 25.6°

    

   coneheadceo, Aug 11, 2012
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3. Aug 11, 2012 #2

   gneill

   

   Staff: Mentor

   Your method is correct. Two things to keep in mind:
   1. Don't be too free with the "=" symbol; the angle is not the same as the tan of the angle.
   2. Keep a few extra decimal places in intermediate results and only round at the end for the final value.

    

   gneill, Aug 11, 2012

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